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Finding the Third Proportional to 34,618.63 and 75,312.13

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Solution

The third proportional to 34,618.63 and 75,312.13 is: 163,840.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,618.63 : 75,312.13 = 75,312.13 : x
  2. Step 2: Convert to fraction form
    34,618.63/75,312.13 = 75,312.13/x
  3. Step 3: Cross multiply
    34,618.63x = 75,312.13 × 75,312.13
  4. Step 4: Simplify right side
    34,618.63x = 5,671,916,172.02
  5. Step 5: Solve for x
    x = 5,671,916,172.02/34,618.63
  6. Step 6: Final answer
    x = 163,840.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.